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In this paper, we consider the problem of network design on network games. We study the conditions on the adjacency matrix of the underlying network to design a game such that the Nash equilibrium coincides with the social optimum. We…

Computer Science and Game Theory · Computer Science 2022-09-13 Abhishek Shende , Deepanshu Vasal , Sriram Vishwanath

We provide a strategic model of the formation of production networks that subsumes the standard general equilibrium approach. The objective of firms in our setting is to choose their supply relationships so as to maximize their profit at…

Theoretical Economics · Economics 2025-05-07 Antoine Mandel , Van-Quy Nguyen , Bach Dong-Xuan

Interactions among selfish users sharing a common transmission channel can be modeled as a non-cooperative game using the game theory framework. When selfish users choose their transmission probabilities independently without any…

Computer Science and Game Theory · Computer Science 2009-05-31 Jaeok Park , Mihaela van der Schaar

The noncooperative Nash equilibrium solution of classical games corresponds to a rational expectations attitude on the part of the players. However, in many cases, games played by human players have outcomes very different from Nash…

Quantum Physics · Physics 2007-05-23 R. Vilela Mendes

We consider the framework of aggregative games, in which the cost function of each agent depends on his own strategy and on the average population strategy. As first contribution, we investigate the relations between the concepts of Nash…

Systems and Control · Computer Science 2018-07-27 Dario Paccagnan , Basilio Gentile , Francesca Parise , Maryam Kamgarpour , John Lygeros

This paper studies the effects of introducing altruistic agents into atomic congestion games. Altruistic behavior is modeled by a trade-off between selfish and social objectives. In particular, we assume agents optimize a linear combination…

Computer Science and Game Theory · Computer Science 2009-02-04 Martin Hoefer , Alexander Skopalik

We consider the dynamics, existence and stability of the equilibrium states for large populations of individuals who can play various types of non--cooperative games. The players imitate the most attractive strategies, and the choice is…

Adaptation and Self-Organizing Systems · Physics 2012-04-02 Tadeusz Platkowski , Jan Zakrzewski

We propose a new dynamics for equilibrium selection of finite player discrete strategy games. The dynamics is motivated by optimal transportation, and models individual players' myopicity, greedy and uncertainty when making decisions. The…

Optimization and Control · Mathematics 2017-07-26 Shui-Nee Chow , Wuchen Li , Jun Lu , Haomin Zhou

An interaction system has a finite set of agents that interact pairwise, depending on the current state of the system. Symmetric decomposition of the matrix of interaction coefficients yields the representation of states by self-adjoint…

Quantum Physics · Physics 2017-06-07 Ulrich Faigle , Michel Grabisch

This paper investigates the Nash equilibrium seeking problems for networked games with intermittent communication, where each player is capable of communicating with other players intermittently over a strongly connected and directed graph.…

Optimization and Control · Mathematics 2023-10-05 Ying Zhai , Rui Yuan , Huan Su

We consider network contribution games, where each agent in a social network has a budget of effort that he can contribute to different collaborative projects or relationships. Depending on the contribution of the involved agents a…

Computer Science and Game Theory · Computer Science 2012-04-27 Elliot Anshelevich , Martin Hoefer

We derive a class of macroscopic differential equations that describe collective adaptation, starting from a discrete-time stochastic microscopic model. The behavior of each agent is a dynamic balance between adaptation that locally…

Adaptation and Self-Organizing Systems · Physics 2024-05-15 Yuzuru Sato , Eizo Akiyama , James P. Crutchfield

We study the optimal joint intervention of a planner who can influence both the standalone marginal utilities of agents in a network and the weights of the links connecting them. The welfare-maximizing intervention displays two key…

Theoretical Economics · Economics 2025-11-17 Ryan Kor , Yi Liu , Yves Zenou , Junjie Zhou

Many multiagent systems rely on collective decision-making among self-interested agents, which raises deep questions about coalition formation and stability. We study social choice with endogenous, outcome-contingent transfers, where agents…

Theoretical Economics · Economics 2026-01-23 Joshua Kavner

Nash equilibria are defined using uncorrelated behavioural or mixed joint probability distributions effectively assuming that players of bounded rationality must discard information to locate equilibria. We propose instead that rational…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Kae Nemoto , Michael J Gagen

A key challenge in responding to public health crises such as COVID-19 is the difficulty of predicting the results of feedback interconnections between the disease and society. As a step towards understanding these interconnections, we pose…

Systems and Control · Electrical Eng. & Systems 2021-03-29 Philip N. Brown , Brandon Collins , Colton Hill , Gia Barboza , Lisa Hines

A generalized model of games is proposed, in which cooperative games and non-cooperative games are special cases. Some games that are neither cooperative nor non-cooperative can be expressed and analyzed. The model is based on relationships…

Computer Science and Game Theory · Computer Science 2016-10-10 Jiawei Li

Consider a 2-player normal-form game repeated over time. We introduce an adaptive learning procedure, where the players only observe their own realized payoff at each stage. We assume that agents do not know their own payoff function, and…

Computer Science and Game Theory · Computer Science 2013-06-13 Mario Bravo , Mathieu Faure

Nash equilibrium is often heralded as a guiding principle for rational decision-making in strategic interactions. However, it is well-known that Nash equilibrium sometimes fails as a reliable predictor of outcomes, with two of the most…

Computer Science and Game Theory · Computer Science 2023-12-27 Ivan Geffner , Moshe Tennenholtz

We show that standard Bayesian games cannot represent the full spectrum of belief-dependent preferences. However, by introducing a fundamental distinction between intended and actual strategies, we remove this limitation. We define Bayesian…

Computer Science and Game Theory · Computer Science 2016-06-27 Adam Bjorndahl , Joseph Y. Halpern , Rafael Pass